Títol:
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Periods for transversal maps via Lefschetz numbers for periodic points
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Autor/a:
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Guillamon, A.; Jarque i Ribera, Xavier; Llibre, Jaume; Ortega Cerdà, Joaquim; Torregrosa, J.
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Altres autors:
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Universitat de Barcelona |
Abstract:
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Let f: M → M be a C1 map on a C1 differentiable manifold. The map f is called transversal if for all m ∈ N the graph of fm intersects transversally the diagonal of M × M at each point (x, x) such that x is a fixed point of fm. We study the set of periods of f by using the Lefschetz numbers for periodic points. We focus our study on transversal maps defined on compact manifolds such that their rational homology is $H_0 \approx \mathbb{Q}, H_1 \approx \mathbb{Q} \oplus \mathbb{Q}$ and Hk ≈ {0} for k ≠ 0, 1. |
Matèries:
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-Anàlisi global (Matemàtica) -Global analysis -Lefschetz Numbers |
Drets:
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(c) American Mathematical Society, 1995
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Tipus de document:
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Article Article - Versió publicada |
Publicat per:
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American Mathematical Society
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